Explanation Given: a) ∑ i = 1 4 i , ∑ l = 1 4 l b) ∑ j = 1 4 j 2 , ∑ k = 2 5 k 2 c) ∑ j = 1 4 j , ∑ i = 2 5 ( i − 1 ) d)

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 5.1, Problem 3PQ

To determine

The pairs of sums those are not equal from the given options

a) $\sum_{i = 1}^{4} i, \sum_{l = 1}^{4} l$

b) $\sum_{j = 1}^{4} j^{2}, \sum_{k = 2}^{5} k^{2}$

c) $\sum_{j = 1}^{4} j, \sum_{i = 2}^{5} (i - 1)$

d) $\sum_{i = 1}^{4} i (i + 1), \sum_{j = 2}^{5} (j - 1) j$

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Chapter 5.1, Problem 2PQ

Chapter 5.1, Problem 4PQ

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Chapter 5 Solutions

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Ch. 5.1 - Prob. 1PQ Ch. 5.1 - Prob. 2PQ Ch. 5.1 - Prob. 3PQ Ch. 5.1 - Prob. 4PQ Ch. 5.1 - Prob. 5PQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - 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The pairs of sums those are not equal from the given options a) ∑ i = 1 4 i , ∑ l = 1 4 l b) ∑ j = 1 4 j 2 , ∑ k = 2 5 k 2 c) ∑ j = 1 4 j , ∑ i = 2 5 ( i − 1 ) d) ∑ i = 1 4 i ( i + 1 ) , ∑ j = 2 5 ( j − 1 ) j

Solution Summary: The author determines the pairs of sums that are not equal from the given options.

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The pairs of sums those are not equal from the given options

a) $\sum_{i = 1}^{4} i, \sum_{l = 1}^{4} l$

b) $\sum_{j = 1}^{4} j^{2}, \sum_{k = 2}^{5} k^{2}$

c) $\sum_{j = 1}^{4} j, \sum_{i = 2}^{5} (i - 1)$

d) $\sum_{i = 1}^{4} i (i + 1), \sum_{j = 2}^{5} (j - 1) j$

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Chapter 5 Solutions

The pairs of sums those are not equal from the given options a) ∑ i = 1 4 i , ∑ l = 1 4 l b) ∑ j = 1 4 j 2 , ∑ k = 2 5 k 2 c) ∑ j = 1 4 j , ∑ i = 2 5 ( i − 1 ) d) ∑ i = 1 4 i ( i + 1 ) , ∑ j = 2 5 ( j − 1 ) j

Solution Summary: The author determines the pairs of sums that are not equal from the given options.

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The pairs of sums those are not equal from the given options a) ∑i=14i, ∑l=14l b) ∑j=14j2, ∑k=25k2 c) ∑j=14j, ∑i=25(i−1) d) ∑i=14i(i+1), ∑j=25(j−1)j

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Chapter 5 Solutions

The pairs of sums those are not equal from the given options

a) $\sum_{i = 1}^{4} i, \sum_{l = 1}^{4} l$

b) $\sum_{j = 1}^{4} j^{2}, \sum_{k = 2}^{5} k^{2}$

c) $\sum_{j = 1}^{4} j, \sum_{i = 2}^{5} (i - 1)$

d) $\sum_{i = 1}^{4} i (i + 1), \sum_{j = 2}^{5} (j - 1) j$